Difference between revisions of "Rational functions"
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p[0] = board.createElement('point', [-1,2], {style:6}); | p[0] = board.createElement('point', [-1,2], {style:6}); | ||
p[1] = board.createElement('point', [3,-1], {style:6}); | p[1] = board.createElement('point', [3,-1], {style:6}); | ||
− | var | + | var f = board.lagrangePolyomial(p); |
− | + | graph = board.createElement('curve', ['x', f, 'x', -10, 10], {curveType:'graph'}); | |
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− | graph = board.createElement('curve', ['x', | ||
function addPoint1() { | function addPoint1() { | ||
Line 58: | Line 41: | ||
q[0] = board2.createElement('point', [-1,2], {style:6}); | q[0] = board2.createElement('point', [-1,2], {style:6}); | ||
q[1] = board2.createElement('point', [3,-1], {style:6}); | q[1] = board2.createElement('point', [3,-1], {style:6}); | ||
− | var | + | var f2 = board2.lagrangePolyomial(p); |
− | + | graph2 = board2.createElement('curve', ['x', f2, 'x', -10, 10], {curveType:'graph'}); | |
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− | graph2 = board2.createElement('curve', ['x', | ||
function addPoint2() { | function addPoint2() { | ||
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b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {}); | b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {}); | ||
b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {}); | b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {}); | ||
− | graph3 = board3.createElement('curve', ['x', function(x){return | + | graph3 = board3.createElement('curve', ['x', function(x){return f(x)/f2(x);}, 'x', -10, 10], {curveType:'graph',strokeColor:'#ff0000'}); |
</script> | </script> | ||
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p[0] = board.createElement('point', [-1,2], {style:6}); | p[0] = board.createElement('point', [-1,2], {style:6}); | ||
p[1] = board.createElement('point', [3,-1], {style:6}); | p[1] = board.createElement('point', [3,-1], {style:6}); | ||
− | var | + | var f = board.lagrangePolyomial(p); |
− | + | graph = board.createElement('curve', ['x', f, 'x', -10, 10], {curveType:'graph'}); | |
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− | graph = board.createElement('curve', ['x', | ||
function addPoint1() { | function addPoint1() { | ||
Line 139: | Line 88: | ||
q[0] = board2.createElement('point', [-1,2], {style:6}); | q[0] = board2.createElement('point', [-1,2], {style:6}); | ||
q[1] = board2.createElement('point', [3,-1], {style:6}); | q[1] = board2.createElement('point', [3,-1], {style:6}); | ||
− | var | + | var f2 = board2.lagrangePolyomial(p); |
− | + | graph2 = board2.createElement('curve', ['x', f2, 'x', -10, 10], {curveType:'graph'}); | |
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− | graph2 = board2.createElement('curve', ['x', | ||
function addPoint2() { | function addPoint2() { | ||
Line 168: | Line 100: | ||
b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {}); | b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {}); | ||
b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {}); | b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {}); | ||
− | graph3 = board3.createElement('curve', ['x', function(x){return | + | graph3 = board3.createElement('curve', ['x', function(x){return f(x)/f2(x);}, 'x', -10, 10], {curveType:'graph',strokeColor:'#ff0000'}); |
</source> | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Calculus]] | [[Category:Calculus]] |
Revision as of 21:08, 4 February 2009
Polynomial [math]f[/math]:
Polynomial [math]g[/math]:
Rational function [math]\frac{f}{g}[/math]:
References
The underlying JavaScript source code
board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});
// Axes
b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
var p = [];
var q = [];
p[0] = board.createElement('point', [-1,2], {style:6});
p[1] = board.createElement('point', [3,-1], {style:6});
var f = board.lagrangePolyomial(p);
graph = board.createElement('curve', ['x', f, 'x', -10, 10], {curveType:'graph'});
function addPoint1() {
p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
board.update();
}
board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25});
// Axes
b1axisx2 = board2.createElement('axis', [[0,0], [1,0]], {});
b1axisy2 = board2.createElement('axis', [[0,0], [0,1]], {});
q[0] = board2.createElement('point', [-1,2], {style:6});
q[1] = board2.createElement('point', [3,-1], {style:6});
var f2 = board2.lagrangePolyomial(p);
graph2 = board2.createElement('curve', ['x', f2, 'x', -10, 10], {curveType:'graph'});
function addPoint2() {
q.push(board2.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
board2.update();
}
board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25});
// Axes
b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {});
b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});
graph3 = board3.createElement('curve', ['x', function(x){return f(x)/f2(x);}, 'x', -10, 10], {curveType:'graph',strokeColor:'#ff0000'});